I’m planning to have trip to Switzerland on March 2014 with detail like below:

Day 1: train from Paris to Basel, the Basel to LucerneDay 2: Trip to EngelbergDay 3: Lucerne city sightseeing or go to Pilatus / Rigi for daytripDay 4: train from Lucerne to GenevaDay 5: Geneva city to Geneva airport

Is Swiss Pass for 4 constitutive days is suitable for me?What is your comment if I purchase point to point ticket which I tried to calculate much cheaper?

If I don’t purchase Swiss Pass, then is it possible if I get around Lucerne city by public transport? Is there any daily pass on Lucerne?

A 4-day Swiss Pass can indeed be used for your trip. Use it for day 1 to 4. You can check whether the pass is economical as explained here. Note that the Rigi is free with a Swiss Pass, so if you pick that one you save more. Paris to Basel requires a TGV Lyria point to point ticket. From Basel onwards is included in the Swiss Pass. More pass information is here and prices are here.

The Pilatus funicular will be closed in March. There's only the cable car from Kriens (Lucerne).

If you don't have a pass you can purchase a day card for public transport in Lucerne. You'd pay more if you want to travel in a larger area (zones). You can go to the ticket desk and explain your plans to get the right ticket.